Zaymiey

📐 Mathematics  ·  Relations and Functions (Class 12)  ·  JEE

The number of reflexive relations on a set with n elements is:

Answer: 2 n² − n.

  • A 2<sup>n</sup>
  • B
  • C 2<sup>n² − n</sup>
  • D 2<sup>n²</sup>

Correct answer: C. 2<sup>n² − n</sup>

Explanation: The n diagonal pairs are forced to be present; the remaining n² − n off-diagonal pairs are free, giving 2<sup>n² − n</sup>.

Concept context

Types of relations, equivalence classes, one-one and onto functions, composition, and invertible functions

Read the full Relations and Functions (Class 12) notes →